How do u set this up - Five times the difference between a number and two is greater than the quotient of two times the number and three. Find the smallest integer that will satisfy the inequality.

Question

How do u set this up -> Five times the difference between a number and two is greater than the quotient of two times the number and three. Find the smallest integer that will satisfy the inequality.

anonymous · Answer

Let the number be n.

Five times the difference between the number and 2:
$$\implies 5(n-2)$$

The quotient of two times the number and 3:
$$\implies{ 2n\over 3}$$

That help?

anonymous · Answer

"a number" is represented as x
so "the difference between a number and two" is x - 2
"five times the difference between a number and two" is 5(x - 2)
"is greater than" is the symbol >
"the quotient of two times a number and 3" means 2x/3 (quotient means division)
put it all together and you get the mathematical sentance

5(x - 2) > 2x/3

anonymous · Answer

yes very much thanks :)

anonymous · Answer

Thanks for the explanation it really helped :)